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Finding the Fourth Proportional to 1,422.33, 2,133.36 and 728.61

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Solution

The fourth proportional to 1,422.33, 2,133.36 and 728.61 is: 1,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.33 : 2,133.36 = 728.61 : x
  2. Step 2: Convert to fraction form
    1,422.33/2,133.36 = 728.61/x
  3. Step 3: Cross multiply
    1,422.33x = 2,133.36 × 728.61
  4. Step 4: Simplify right side
    1,422.33x = 1,554,387.43
  5. Step 5: Solve for x
    x = 1,554,387.43/1,422.33
  6. Step 6: Final answer
    x = 1,092.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.